{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c2b7da21-f761-4b32-9b9e-f8985e2f8dc9",
   "metadata": {},
   "source": [
    "Chapter 10, 聊聊可视化\n",
    "# 使用Matplotlib绘制线图\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b788479f-9f45-4ad6-8e83-76ed6631ca33",
   "metadata": {},
   "source": [
    "## 导入包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "14ac1471-23c1-4f10-af2d-fb89b126430e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e8f6b7e0-8a6f-4df5-a38e-075d25206a78",
   "metadata": {},
   "source": [
    "## 绘制正弦"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "30d9da4b-82a0-4411-bd0f-59da8aebab70",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 2*np.pi, 100)\n",
    "y = np.sin(x)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(1, 1, 1)\n",
    "ax.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c1884bd-53ed-4a8e-9dca-cfee0cdc7086",
   "metadata": {},
   "source": [
    "## 修改颜色、线宽"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7253dfa7-bf19-4c16-a204-3b9fdcc3b5bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
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eRUJCAoYPH46EhISCa5JpLV1qmHrcsqVx1XBSnx49RH0qQKw2PW6c1HCIiCpFFVM/QUhICK5du4b33nsPKSkp8PX1xebNmwtmRaWkpBRZE0en0yE6OhoLFiwo9po3btzAiBEjkJqaCq1Wi3bt2mH37t145JFHTP1yrF5aGjBlimE/KkoMaCV1mztXLMb477/A2rVi6nivXrKjIiIyHY2i5FcOsh56vR5arRY6nY7jccpp2DCxkBwgPiRXrpQZDZXHl18CL78s2o0aASdOAFwbk4jMSXk+vzkslMps925DclOjBitWm5thw0SNMAA4exaYM0dqOEREJsUEh8okOxt4/XXD/syZQJ068uKh8tNogIULDTXCZs4EuGICEVkqJjhUJgsWiFsaANC+vVhThcxPq1aG9Ypu3WLFdyKyXExw6J5SU4EZM0RboxEDi1kp3HzNmAE89JBof/cdsHOn3HiIiEyBCQ7d09SpQEaGaI8YIXpwyHzVqGFcm2r0aHELkojIkjDBoVIdOSJm3wCAVgu8/77ceKhivPQS0KGDaJ84ASxeLDceIqKKxgSHSqQoQESE+BMQtafyb22QebOxARYtMuy/+65Y44iIyFIwwaESff89sGePaDdtCowaJTceqliPPGJYF0enEyU3iIgsBRMcKtadO4ZK1IBYM+UeNU/JDM2cCTg7i/aSJUBiotx4iIgqChMcKtbcucCFC6L95JNAnz5y4yHTcHMDJk8W7dxc46SWiMicMcGhIlJSxDd7QIzVmDdPTA8nyxQRAdSrJ9o//wz88ovUcIiIKgQTHCri3XeBmzdFOzxcVAwny+XkZEhoAVEdPjdXXjxERBWBCQ4ZSUwEli8XbRcXwwJ/ZNkGDQL8/UX76FHg66/lxkNE9KCY4JCRyZOBvDxD29VVbjxUOWxsgE8+MexPnWroxSMiMkdMcKjAb78BmzaJ9sMPA2PHyo2HKle3bkC/fqJ96RKrjROReWOCQwDEYn6FZ9DMmCHGZpB1+egjoEoV0f74Yy7+R0TmiwkOAQA2bADi4kS7RQtg6FC58ZAc3t6GSvEZGcaDj4mIzAkTHEJ2NjBlimF/1izDt3iyPtOmGXrvoqKA8+elhkNEdF+Y4BCWLQNOnxbtxx7jon7Wzt1drI0DAFlZLOFAROZJoyj5pRSth16vh1arhU6ng4uLi+xwpLp5E2jcGLh8WezHxQEdO8qNieS7cQNo1Ai4fl0s8njsGODrKzsqIrJ25fn8Zg+OlVu0yJDcPP88kxsSatQwlHBQFODtt6WGQ0RUbuzBseIeHJ0O8PIS39JtbIA//gCaN5cdFanFrVuiivylS2J/714gIEBuTERk3diDQ2Uyb55IbgBg8GAmN2TMyUmU7cg3ebLozSEiMgdMcKzUtWuiYjggZkwV/iAjyvfSS6IXBwB27wa2bZMbDxFRWTHBsVKzZwPp6aI9fLgYUEp0Nzs74P33DfvvvMNeHCIyD0xwrFBKihhcDAAODhxASqXr3x9o1Uq0Dx4Efv5ZbjxERGXBBMcKffghcPu2aL/+OlCvntx4SN1sbIyryrMXh4jMARMcK3PhArBkiWhXq2aYCkxUmuBgoF070Y6PBzZulBoOEdE9McGxMh9+KEozAKJaeJ06cuMh86DRAO+9Z9ifPh3Iy5MWDhHRPTHBsSLnzwNffinaLi7AxIlSwyEz8/TTQIcOon30qCjQSkSkVkxwrEhkJJCTI9pjxwI1a8qNh8zL3b04777LXhwiUq9KSXAWL14MLy8vODo6wt/fH3v27Cnx3F27dkGj0RTZTp48aXRedHQ0WrRoAQcHB7Ro0QIb+HWyVBcuACtWiLazs6GYIlF59OxpWM34xAlg/Xq58RARlcTkCc66desQERGBqVOnIj4+Hl26dEHv3r2RlJRU6uNOnTqFlJSUgq1p/mpjAPbt24eQkBCEhobi6NGjCA0NxYABA7B//35TvxyzdXfvTa1acuMh81TcWJzcXGnhEBGVyOS1qDp27Ag/Pz9ERUUVHGvevDmCg4MRGRlZ5Pxdu3bh8ccfx/Xr11GjRo1irxkSEgK9Xo8tW7YUHOvVqxdq1qyJNWvW3DMma6tFlZQENGkiBhc7O4uxOExw6H4pCtC1K5DfEbt2LRASIjcmIrIOqqlFlZWVhcOHDyMoKMjoeFBQEPbu3VvqY9u1awcPDw90794dO3fuNPrZvn37ilyzZ8+eJV4zMzMTer3eaLMmkZGGmVNjxjC5oQej0Yi1cPJ98AHH4hCR+pg0wbl69Spyc3Ph5uZmdNzNzQ2pqanFPsbDwwNLlixBdHQ0fvjhB3h7e6N79+7YvXt3wTmpqanlumZkZCS0Wm3B5unp+YCvzHwkJwPLl4t29erAuHFy4yHL0L070KmTaP/xB9fFISL1qVIZT6LRaIz2FUUpciyft7c3vL29C/YDAgKQnJyMTz75BI899th9XXPKlCkYP358wb5er7eaJKdw783o0UDt2nLjIcug0QDTpomp44CoVxUcLI4TEamBSXtwXF1dYWtrW6RnJS0trUgPTGk6deqEM2fOFOy7u7uX65oODg5wcXEx2qzBP/8Y994UyvGIHljv3oC/v2jHxwObN8uNh4ioMJMmOPb29vD390dMTIzR8ZiYGAQGBpb5OvHx8fDw8CjYDwgIKHLN7du3l+ua1uCTT4CsLNEeORJwdZUbD1mW/F6cfO+9xxpVRKQeJr9FNX78eISGhqJ9+/YICAjAkiVLkJSUhPDwcADi9tE///yDr776CgAwf/58NGzYEC1btkRWVha++eYbREdHIzo6uuCaY8eOxWOPPYbZs2fjmWeewcaNG7Fjxw789ttvpn45ZuPKFeCLL0S7alX23pBp9OsHtG4NHDsGHDgAxMQAd43/JyKSwuQJTkhICK5du4b33nsPKSkp8PX1xebNm9GgQQMAQEpKitGaOFlZWZg4cSL++ecfVK1aFS1btsTPP/+Mp556quCcwMBArF27Fm+//TamTZuGxo0bY926dejYsaOpX47ZmD/fUDE8LIw1p8g0NBrg7beBAQPE/vvvA08+ybE4RCSfydfBUSNLXwfnxg2gQQNArwfs7ICzZ4F69WRHRZYqLw/w9QUSE8X+zp1At25SQyIiC6WadXBIjs8+E8kNAAwdyuSGTMvGBpg61bD/4YfyYiEiyscEx8LcvAnMmyfaNjbApEly4yHrEBICNG4s2jt2AIcOyY2HiIgJjoVZsgS4dk20Bw4UJRqITK1KFeDNNw37xVRhISKqVByDY0FjcDIzgUaNgEuXxP7x42JsBFFlyMwEvLyAlBQxyPjPPwEfH9lREZEl4RgcK7VypSG5CQ5mckOVy8HBsByBogCzZ8uNh4isGxMcC5GTA3z0kWH/rbfkxULW69VXgZo1Rfubb0QleyIiGZjgWIjoaDEdHAB69AA6dJAbD1knZ2dg1CjRzskB5syRGw8RWS8mOBbg7tsBnDlFMo0ZAzg5ifbSpWJVbSKiysYExwLs2CGKHQKi+GH37nLjIevm6gqMGCHat28DCxbIjYeIrBMTHAswa5ahPWkSl8kn+SZMEKtoA8CiRUB6utx4iMj6MMExcwcPAr/+KtpNmgDPPSc3HiJArJ4dGiraOp24VUVEVJmY4Ji5wmNv3ngDsLWVFwtRYW+8YWjPmwdkZcmLhYisDxMcM3b6NPDDD6Lt5gYMGSI3HqLCfHyAfv1E++JFYO1aufEQkXVhgmPGPvlEzKACgHHjAEdHufEQ3a1w+YaPPjL8vhIRmRoTHDOVkgKsWiXaLi5AeLjceIiK07kzEBgo2idOAFu2yI2HiKwHExwztXChYUxDeDig1cqNh6gkd/fiEBFVBiY4ZigjA4iKEm07O2DsWLnxEJWmb1/A21u0Y2OBAwfkxkNE1oEJjhlavhy4cUO0Bw0C6taVGg5RqWxsgIkTDfsffywvFiKyHkxwzExOjphym2/CBHmxEJXV4MGAu7toR0cDf/0lNx4isnxMcMxMdDRw4YJo9+oF+PrKjYeoLBwdDbdSFYVFOInI9JjgmBFFMe7eL7yQGpHahYcD1auL9sqVwNWrUsMhIgvHBMeMxMYChw+Ldrt2wOOPy42HqDxq1ACGDxftO3cMA+WJiEyBCY4Z+eQTQ3viRBbVJPMzdqwYdAyIIpx37siNh4gsFxMcM/Hnn8DPP4t2/fpA//5y4yG6H15ewPPPi3ZaGvDNN3LjISLLxQTHTBQelBkRIda/ITJHhWf+zZ0L5OXJi4WILBcTHDNw+bLhm65WC7zyitx4iB5Ex47Ao4+KdmIisHWr3HiIyDIxwTEDixcbyjKMGAE4O8uNh+hBFe7F4ZRxIjIFJjgqd/u2SHAAwNYWGD1abjxEFaFvX6BJE9H+9VcgIUFqOERkgZjgqNw33xjWCxkwAPD0lBsPUUWwtQXGjTPssxeHiCoaExwVy8szLsswfry8WIgq2rBhQK1aor12LXDxotRwiMjCMMFRsW3bxCBMAOjSBWjfXm48RBXJyQl47TXRzskR6+IQEVWUSklwFi9eDC8vLzg6OsLf3x979uwp8dwffvgBTz75JB566CG4uLggICAA27ZtMzpn5cqV0Gg0RbY7FrZq2Ny5hjZ7b8gSjRxpWPJgyRLg5k258RCR5TB5grNu3TpERERg6tSpiI+PR5cuXdC7d28kJSUVe/7u3bvx5JNPYvPmzTh8+DAef/xx9O3bF/Hx8Ubnubi4ICUlxWhzdHQ09cupNMeOATt2iHbjxmJQJpGl8fAAXnhBtK9fB1atkhsPEVkOjaIoiimfoGPHjvDz80NUocIzzZs3R3BwMCIjI8t0jZYtWyIkJATvvPMOANGDExERgRs3btxXTHq9HlqtFjqdDi4uLvd1DVN76SVRkBAAFi4ERo2SGg6RySQkiNpqANC0KXDypKGcAxFRYeX5/DbpfyNZWVk4fPgwgoKCjI4HBQVh7969ZbpGXl4e0tPTUSt/NOJ/MjIy0KBBA9SrVw99+vQp0sNTWGZmJvR6vdGmZqmpwLffinaNGmIwJpGlatsW6NZNtM+cATZvlhkNEVkKkyY4V69eRW5uLtzc3IyOu7m5ITU1tUzXmDNnDm7evIkBAwYUHPPx8cHKlSuxadMmrFmzBo6OjujcuTPOnDlT7DUiIyOh1WoLNk+Vz7WOijJe2K96dbnxEJlaRIShXXjmIBHR/aqUjmDNXWWvFUUpcqw4a9aswfTp07Fu3TrUqVOn4HinTp0wePBgtGnTBl26dMF3332HZs2aYeHChcVeZ8qUKdDpdAVbcnLyg70gE7pzRyQ4gFgrhLemyBr06SPGmgFi4b+jR+XGQ0Tmz6QJjqurK2xtbYv01qSlpRXp1bnbunXrMHz4cHz33Xfo0aNHqefa2NigQ4cOJfbgODg4wMXFxWhTqzVrgCtXRLt/fy7sR9bB1hYYO9awP3++tFCIyEKYNMGxt7eHv78/YmJijI7HxMQgMDCwxMetWbMGw4YNw7fffounn376ns+jKAoSEhLg4eHxwDHLpCjG3fOFu+2JLN1LL4lisoAYg1bGu9hERMUy+S2q8ePHY9myZVixYgUSExMxbtw4JCUlITw8HIC4fTRkyJCC89esWYMhQ4Zgzpw56NSpE1JTU5GamgqdTldwzowZM7Bt2zacPXsWCQkJGD58OBISEgquaa527gSOHxftTp1E1WUia1G9OhAWJtpZWYZbtURE98PkCU5ISAjmz5+P9957D23btsXu3buxefNmNGjQAACQkpJitCbOF198gZycHIwcORIeHh4F29hC/dc3btzAiBEj0Lx5cwQFBeGff/7B7t278cgjj5j65ZhU4W559t6QNRo9WtyuAoDPPxdj0oiI7ofJ18FRIzWug3PmDODtLW5T1asHnD1rWOGVyJqEhADffSfaX37JZRKIyEA16+BQ2S1cKJIbQHyLZXJD1qrwYOMFCwz/LoiIyoMJjgrcuAGsWCHaTk7AK69IDYdIqoAAoEMH0U5IAEopXUdEVCImOCqwYoWhyODQocBdizYTWRWNhlPGiejBMcGRLDdX3J7KN2aMvFiI1KJ/f1GIEwA2bgTOn5caDhGZISY4km3aZPjPu1cvwMdHajhEqmBvD7z+umjn5QGLFsmNh4jMDxMcyRYsMLQLd8sTWbtXXwUcHER72TIgI0NuPERkXpjgSJSQAMTGira3N3BX0XUiq/bQQ8CgQaKt0wGrVsmNh4jMCxMcie4ee2PDvw0iI4V7NT/9VNyuIiIqC36kSnLlCrB6tWhrtUChahVE9J/WrYHHHxft06eBbdvkxkNE5oMJjiRLlgCZmaI9fLiow0NERd3di0NEVBZMcCTIzgYWLxZtjQYYNUpuPERq1qcP4OUl2lu3AidPyo2HiMwDExwJoqOBS5dEu18/w3/eRFSUra3xlwBOGSeismCCIwGnhhOVz8svizImALBypZhVRURUGiY4lezAASAuTrRbtwa6dZMaDpFZqFFDlDEBRFmT/NptREQlYYJTyQpPDR89WozBIaJ7Gz3a0F60SJQ5ISIqCROcSpSaCqxbJ9q1ahkWMSOie2ve3LAY5tmzwObNcuMhInVjglOJvvhCzKACgBEjgKpV5cZDZG4KF6MtPJaNiOhuTHAqSVYWEBUl2ra2wGuvyY2HyBz17g00bizav/wCnDghNx4iUi8mOJVk/Xrg8mXRfvZZoH59ufEQmSMbG+OxOFz4j4hKwgSnktxdd4qI7s+wYYaVv7/+Grh+XWo4RKRSTHAqwf79YgOAtm2BRx+VGg6RWdNqRZIDALdvA8uXSw2HiFSKCU4l4NRwoopVeGXjzz7jlHEiKooJjomlpADffSfatWsDL7wgNx4iS+DtDfTsKdrnzwP/939SwyEiFWKCY2KcGk5kGoXHshXuJSUiApjgmFRWFvD556LNqeFEFatXL6BJE9HmlHEiuhsTHBO6e2q4p6fceIgsiY0Nq4wTUcmY4JgQp4YTmVbhKeNffcUp40RkwATHRA4cMEwNb9OGU8OJTEGrNVQZv3WLVcaJyIAJjonc3XvDqeFEpsEp40RUHCY4JlC4ajinhhOZlo+PYcr4uXPAzz/LjYeI1IEJjgksWWKYGv7KK5waTmRqhetTcco4EQGVlOAsXrwYXl5ecHR0hL+/P/bs2VPq+bGxsfD394ejoyMaNWqEz/PnWhcSHR2NFi1awMHBAS1atMCGDRtMFX65FJ4abmMDvP663HiIrEHhKuM7dgB//ik3HiKSz+QJzrp16xAREYGpU6ciPj4eXbp0Qe/evZGUlFTs+efOncNTTz2FLl26ID4+Hm+99RbGjBmD6OjognP27duHkJAQhIaG4ujRowgNDcWAAQOwP39Ur0TR0WL1YgAIDmbVcKLKwCnjRHQ3jaIoiimfoGPHjvDz80NUVFTBsebNmyM4OBiRkZFFzp80aRI2bdqExMTEgmPh4eE4evQo9u3bBwAICQmBXq/Hli1bCs7p1asXatasiTVr1twzJr1eD61WC51OBxcXlwd5eUUEBgL/hYldu4CuXSv08kRUAp0OePhh4OZNoFo14OJFoEYN2VERWZ+8PODUKaB584q/dnk+v03ag5OVlYXDhw8jKCjI6HhQUBD27t1b7GP27dtX5PyePXvi0KFDyP5vYEtJ55R0zczMTOj1eqPNFA4dMiQ3rVoBjz1mkqchomIUnjJ+8ybw5Zdy4yGyVlu2AC1aAN27A7//Li8OkyY4V69eRW5uLtzc3IyOu7m5ITU1tdjHpKamFnt+Tk4Orl69Wuo5JV0zMjISWq22YPM00ZLCrBpOJNfdU8bz8uTFQmStPv1U/Pnrr8C//8qLo1IGGWvu+qRXFKXIsXudf/fx8lxzypQp0Ol0BVtycnK54i+rJ54QPTc1awKDBpnkKYioFM2bAz16iPbff4tvkkRUeU6eBLZvF20vL+Cpp+TFYtIEx9XVFba2tkV6VtLS0or0wORzd3cv9vwqVaqgdu3apZ5T0jUdHBzg4uJitJnC0KHA0aPAkSOAk5NJnoKI7qFwWZT8b5JEVDkKD/AfNUoUmpbFpAmOvb09/P39ERMTY3Q8JiYGgYGBxT4mICCgyPnbt29H+/btYWdnV+o5JV2zMmk0QMOGsqMgsl5PPSW+OQLim+SpU3LjIbIWOh2wapVoOzkBL78sNx6T36IaP348li1bhhUrViAxMRHjxo1DUlISwsPDAYjbR0OGDCk4Pzw8HBcuXMD48eORmJiIFStWYPny5Zg4cWLBOWPHjsX27dsxe/ZsnDx5ErNnz8aOHTsQERFh6pdDRCpnawuMHGnY55RxosqxciWQkSHaoaEqmMWoVILPPvtMadCggWJvb6/4+fkpsbGxBT8bOnSo0rVrV6Pzd+3apbRr106xt7dXGjZsqERFRRW55vr16xVvb2/Fzs5O8fHxUaKjo8scj06nUwAoOp3uvl8TEanXv/8qipOTogCKUr26ovCfOpFp5eYqSpMm4t8coCh//GGa5ynP57fJ18FRI1Oug0NE6hAeDnzxhWgvWGA8NoeIKtaWLYYBxU88Afzyi2meRzXr4BARyXJ3fSpOGScyncID+tXyZYIJDhFZpJYtxTdJAPjrL2DrVrnxEFmq06cN/74aNgT69JEaTgEmOERksQp/k2SVcSLTKDyQf+RIuVPDC2OCQ0QWq08fw7INW7dyyjhRRdPrxewpAKhaVf7U8MKY4BCRxbp7yvhnn8mLhcgSrVoFpKeL9uDBQK1acuMpjAkOEVm04cMNK4t/+aX4xklEDy4vr2gNRjVhgkNEFq1mTfHNEhCLkOWvtEpED2b7duDMGdF+/HFRi1FNmOAQkcXjlHGiiqfGqeGFMcEhIovn6yu+YQLiG+e2bXLjITJ3p0+Lxf0AoEEDoG9fufEUhwkOEVkFThknqjhqqhpeEpZqYKkGIquQmws0bgxcuCD2T54EvL3lxkRkjvR64OGHxZg2Jyfg4kUx1q1ynpulGoiIjNjaim+a+VhlnOj+rFplqBo+eHDlJTflxQSHiKxG4SnjK1cCOp3UcIjMjtqnhhfGBIeIrEbNmsCQIaKdkWFYgZWIymbbNsPU8CeeEAP41YoJDhFZlbunjOfmyouFyNyofWp4YUxwiMiqtGgB9Ogh2n//bZjqSkSlO3lSnVXDS8IEh4isztixhnbhb6REVLLCY2/UOjW8MCY4RGR1nnpKTBkHgJgY4M8/5cZDpHY3bhjKnFSrJgbsqx0THCKyOjY2nDJOVB4rVgA3b4r20KFAjRpSwykTLvTHhf6IrJJOB9SrJ2exMiJzkpsLNGkCnD8v9hMTAR8fObFwoT8ionvQaoFhw0T71i1g+XKp4RCp1k8/GZKbnj3lJTflxQSHiKzW3VPGc3LkxUKkVgsWGNqFB+irHRMcIrJazZqJAccAkJQEbNwoNx4itTl2DNi1S7SbNRM9OOaCCQ4RWbXC30jnz5cWBpEq3b2wn40ZZQ1mFCoRUcV78kmgeXPR/u034MgRufEQqcXVq8Dq1aLt4iJmT5kTJjhEZNU0GuNenMLjDYis2RdfAHfuiPbw4UD16nLjKS9OE+c0cSKrd+uWmDJ+/TpgZyfG47i7y46KSJ6sLFGOISVF3Jb66y/Ay0t2VJwmTkRULk5OwIgRop2dDXz+udx4iGRbv14kNwDwzDPqSG7KiwkOERGAkSMNtXWiooDMTLnxEMmiKMYD7iMiZEXyYJjgEBEB8PQEnn9etNPSgLVr5cZDJMvevcChQ6Ldrh3QpYvceO4XExwiov8UHmw8b574JktkbQr33owbJwbimyOTJjjXr19HaGgotFottFotQkNDcePGjRLPz87OxqRJk9CqVStUq1YNdevWxZAhQ3Dp0iWj87p16waNRmO0DRw40JQvhYisQEAA0KGDaB89aljgjMhaXLgA/PCDaLu7AwMGyI3nQZg0wXnxxReRkJCArVu3YuvWrUhISEBoaGiJ59+6dQtHjhzBtGnTcOTIEfzwww84ffo0+vXrV+TcsLAwpKSkFGxffPGFKV8KEVkBjUZ8Y83Hhf/I2ixcCOTlifbrrwMODnLjeRAmmyaemJiIFi1aIC4uDh07dgQAxMXFISAgACdPnoS3t3eZrnPw4EE88sgjuHDhAurXrw9A9OC0bdsW8+/zfx9OEyeikmRnA40aieriGg1w+rSopExk6dLTxVg0nU4kNklJQJ06sqMypopp4vv27YNWqy1IbgCgU6dO0Gq12Lt3b5mvo9PpoNFoUKNGDaPjq1evhqurK1q2bImJEyciPT29xGtkZmZCr9cbbURExbGzA0aNEm1F4cJ/ZD1WrRLJDQAMGqS+5Ka8TJbgpKamok4x706dOnWQmppapmvcuXMHkydPxosvvmiUqQ0aNAhr1qzBrl27MG3aNERHR+O5554r8TqRkZEF44C0Wi08PT3L/4KIyGqMGCHWxgGAL78EShk6SGQRcnPNt2p4Scqd4EyfPr3IAN+7t0P/zS/TFDP0WlGUYo/fLTs7GwMHDkReXh4WL15s9LOwsDD06NEDvr6+GDhwIL7//nvs2LEDR0ooIjNlyhTodLqCLTk5ubwvm4isSM2awLBhon3zJrB0qdRwiEzu//5PrFYMAE88AbRuLTeeilClvA8YNWrUPWcsNWzYEMeOHcPly5eL/OzKlStwc3Mr9fHZ2dkYMGAAzp07h19//fWe99n8/PxgZ2eHM2fOwM/Pr8jPHRwc4GDOI6WIqNKNHQvkf7dauFAMPq5S7v8xiczD3LmG9vjx8uKoSOX+5+rq6gpXV9d7nhcQEACdTocDBw7gkUceAQDs378fOp0OgYGBJT4uP7k5c+YMdu7cidq1a9/zuU6cOIHs7Gx4eHiU/YUQEZWiWTOgTx/xzTY5GYiOBkJCZEdFVPEOHwZ27xZtb2+gd2+58VQUk43Bad68OXr16oWwsDDExcUhLi4OYWFh6NOnj9EMKh8fH2zYsAEAkJOTg//97384dOgQVq9ejdzcXKSmpiI1NRVZWVkAgL///hvvvfceDh06hPPnz2Pz5s3o378/2rVrh86dO5vq5RCRFSo8ZXzePHlxEJlS4d/tceNEcU1LYNKXsXr1arRq1QpBQUEICgpC69at8fXXXxudc+rUKej+G7Z98eJFbNq0CRcvXkTbtm3h4eFRsOXPvLK3t8cvv/yCnj17wtvbG2PGjEFQUBB27NgB2/xCMkREFeDxxw1jEfbvF0vYE1mSixeBdetEu3ZtoJSl6syOSe8o16pVC998802p5xRehqdhw4a417I8np6eiI2NrZD4iIhKk7/w30svif05c4BS7rATmZ1Fi4CcHNF+7TXD7EFLYLKF/tSMC/0RUVllZgINGwKpqSLhOXMGaNxYdlREDy4jQyzsd+MGYG8vyjS4u8uOqnSqWOiPiMgSODgAo0eLtqKwfANZjpUrDWs8vfii+pOb8mKCQ0R0D+Hhhq77FSuAf/+VGw/Rg8rNLVo13NIwwSEiuodatQzjcG7dAljbl8zdpk3A33+Ldo8elrGw392Y4BARlUFEhBiDA4iF//5buYLILH3yiaFtKQv73Y0JDhFRGTRpAgQHi3ZKCrBmjdRwiO7b3r2GJQ9atgR69ZIbj6kwwSEiKqOJEw3tOXPEoGMic1O492biREPPpKVhgkNEVEaBgUCnTqJ9/DiwY4fceIjK68wZ4McfRdvDA3jhBanhmBQTHCKicpgwwdAu/E2YyBzMnWvoeRw7ViyDYKm40B8X+iOicsjNBZo2Bc6dE/sJCUCbNlJDIiqTK1eA+vWBO3eA6tVFEdkaNWRHVT5c6I+IyERsbY17cT7+WF4sROXx2WciuQGAsDDzS27Kiz047MEhonK6dUt8E752TSQ8f/8NNGggOyqikt26JX5Hr141799Z9uAQEZmQk5OhfMPdK8ISqdFXX4nkBgBCQswzuSkvJjhERPdh5EigalXRXrqU5RtIvXJzxbIG+Qovd2DJmOAQEd0HV1fg5ZdF++ZNICpKbjxEJfnhB+Cvv0S7e3egXTu58VQWJjhERPdp/HjA5r//RT/9FLh9W248RHdTFGD2bMP+pEnyYqlsTHCIiO5To0ZA//6inZYmxjkQqcmvvwKHD4t2u3aisKa1YIJDRPQA3njD0P7kEzHegUgtZs0ytCdPttyyDMVhgkNE9AD8/cW4BkCMc9iwQW48RPkOHzaUE2ncGHj+ebnxVDYmOERED+jNNw3tyEgW4SR1+OgjQ3viRLH+jTVhgkNE9ICefBLw8xPtI0eAmBi58RD99Rfw/fei7eYGDBsmNRwpmOAQET0gjQaYMsWwHxkpLxYiQIwHy8sT7bFjAUdHufHIwASHiKgCPPss0KyZaO/aBcTFSQ2HrFhqKrBypWg7OwOvvSY1HGmY4BARVQBbW+M1RtiLQ7LMnw9kZor2q69aflHNkrDYJottElEFycoSs1UuXhT7x48Dvr5yYyLr8u+/os5URgZgbw+cOwfUrSs7qorDYptERBLY2wMTJhj2C68gS1QZFi4UyQ0AvPSSZSU35cUeHPbgEFEFunlTfIO+dk3ctjpzBvDykh0VWYP0dPG7d/265f7usQeHiEiSatWAMWNEOzcX+PhjufGQ9fj8c5HcAMCLL1peclNe7MFhDw4RVbDC4yAcHMQ4CA8P2VGRJbt9WyQ0ly+LZQtOnACaN5cdVcVjDw4RkUS1ahmm5mZmsheHTG/FCpHcAMBzz1lmclNe7MFhDw4RmcDly+Ib9e3bQNWqwPnzQJ06sqMiS5SdDTRpAiQlif0jR0TlcEukmh6c69evIzQ0FFqtFlqtFqGhobhx40apjxk2bBg0Go3R1qlTJ6NzMjMzMXr0aLi6uqJatWro168fLubPyyQiUgE3N2DECNG+fRuYM0duPGS5vvnGkNz07m25yU15mTTBefHFF5GQkICtW7di69atSEhIQGho6D0f16tXL6SkpBRsmzdvNvp5REQENmzYgLVr1+K3335DRkYG+vTpg9zcXFO9FCKicnvzTTEGBwA++0zMrCKqSLm5wKxZhv2pU+XFojZVTHXhxMREbN26FXFxcejYsSMAYOnSpQgICMCpU6fg7e1d4mMdHBzg7u5e7M90Oh2WL1+Or7/+Gj169AAAfPPNN/D09MSOHTvQs2fPin8xRET3oW5dYPhwYPFiMX18/nzg/fdlR0WWZO1a4PRp0e7aFejcWW48amKyHpx9+/ZBq9UWJDcA0KlTJ2i1Wuzdu7fUx+7atQt16tRBs2bNEBYWhrS0tIKfHT58GNnZ2QgKCio4VrduXfj6+pZ43czMTOj1eqONiKgyTJoE2NmJ9qefAve4S09UZrm5xgnzu+/Ki0WNTJbgpKamok4xI+rq1KmD1NTUEh/Xu3dvrF69Gr/++ivmzJmDgwcP4oknnkDmf4U1UlNTYW9vj5o1axo9zs3NrcTrRkZGFowD0mq18PT0fIBXRkRUdvXrA0OHirZeL1aaJaoI69YBp06J9mOPAd26SQ1Hdcqd4EyfPr3IIOC7t0OHDgEANBpNkccrilLs8XwhISF4+umn4evri759+2LLli04ffo0fv7551LjKu26U6ZMgU6nK9iSk5PL8YqJiB7MlCliZVlA3KZKT5caDlmA4npvSvlotUrlHoMzatQoDBw4sNRzGjZsiGPHjuFy/qT8Qq5cuQI3N7cyP5+HhwcaNGiAM2fOAADc3d2RlZWF69evG/XipKWlITAwsNhrODg4wCF/pB8RUSVr1AgYPBhYtUosArhwIfDWW7KjInP23XfAyZOi3aUL8PjjcuNRo3L34Li6usLHx6fUzdHREQEBAdDpdDhw4EDBY/fv3w+dTldiIlKca9euITk5GR7/LQPq7+8POzs7xMTEFJyTkpKCP/74o1zXJSKqTG+9Bdj89z/uJ5+I21VE94O9N2VjsjE4zZs3R69evRAWFoa4uDjExcUhLCwMffr0MZpB5ePjgw0bNgAAMjIyMHHiROzbtw/nz5/Hrl270LdvX7i6uuLZZ58FAGi1WgwfPhwTJkzAL7/8gvj4eAwePBitWrUqmFVFRKQ2zZoB+atkXL8OLFggNx4yX+vXA4mJov3oo8ATT8iNR61Mug7O6tWr0apVKwQFBSEoKAitW7fG119/bXTOqVOnoNPpAAC2trY4fvw4nnnmGTRr1gxDhw5Fs2bNsG/fPjg7Oxc8Zt68eQgODsaAAQPQuXNnODk54aeffoJt/k1uIiIVmjbNMBZnzhzOqKLyY+9N2bFUA0s1EFElGj5c1A0CxIfT9OlSwyEzs24dkD8MtnNnYM8e60pwVFOqgYiIjL39NlDlv+kd8+aJQcdEZZGTY7zWDXtvSscEh4ioEnl5AS+/LNp6PTB3rtx4yHysXm1Y96ZLF4DDTkvHW1S8RUVElSwpSVR/zs4GqlcHzp0DXF1lR0VqlpUFeHuLqvQAEBsrFvezNrxFRUSkYvXrA2Fhop2RIaaNE5Vm+XJDchMUZJ3JTXmxB4c9OEQkwcWLohcnMxNwcgL+/hsoocYwWbnbt8XvyqVLYv/AAaBDB7kxycIeHCIilatXDwgPF+1bt4APPpAbD6lXVJQhuQkOtt7kprzYg8MeHCKSJC1NlHG4eVPMrDp1SuwT5UtPF78TV6+KGVNHjwKtWsmOSh724BARmYE6dYAJE0Q7Jwd45x258ZD6LFggkhtArH9jzclNebEHhz04RCSRXi++oV+7Jr6hx8cDbdrIjorU4N9/xe+GTidWwE5MBJo2lR2VXOzBISIyEy4uwNSpoq0ohjbRzJkiuQGAYcOY3JQXe3DYg0NEkt25I4pxJieL/T17RBFFsl4XLojfiawswNEROHNGDEy3duzBISIyI46OxjWpJk8WvTlkvaZNE8kNAIwdy+TmfjDBISJSgSFDAB8f0f79d+Dnn+XGQ/IkJADffCPatWqJhJfKjwkOEZEKVKkCfPihYf/NN8XMKrI+kyYZevDefhuoUUNqOGaLCQ4RkUo8+ywQECDaiYnAsmVy46HKt2MHsH27aDdsCLz+utRwzBoTHCIildBogDlzDPvvvCOmkZN1yMsTPXf5PvgAcHCQF4+5Y4JDRKQiAQFA//6ifeUKMHu23Hio8qxdK9ZBAoB27YAXXpAbj7ljgkNEpDKzZgH29qI9d65h+jhZrtu3jQcTz54N2PAT+oHw7SMiUplGjYDRo0X7zh3grbfkxkOm98knhkS2Z0/gySflxmMJuNAfF/ojIhW6fh1o0kQs1w8ABw8C7dvLjYlM459/xKJ+t26JkgzHjgEtWsiOSp240B8RkZmrWRN4913D/oQJXPzPUk2eLJIbQMyaYnJTMZjgEBGpVHi46MUBgN27ge+/lxsPVby4OMOifjVrGq9oTQ+GCQ4RkUrZ2xtPG58wAbh5U148VLEUBYiIMOzPmCFWLqaKwQSHiEjF+vYFevUS7eRkMcOKLMO33wL794t28+aix44qDhMcIiIV02iABQsAOzux//HHwNmzcmOiB3fzpijJkG/ePMPfMVUMJjhERCrXrBkwbpxoZ2Ya2mS+PvhAzJ4CgKeeElPDqWIxwSEiMgNvvw14eIj2pk3A1q1y46H79+efYt0bQIyzmjdPbjyWigkOEZEZcHYWt6fyjR0LZGXJi4fuj6IAI0caKsVPmiR66KjiMcEhIjITL74IPPqoaJ8+Lco4kHn59ltg1y7R9vICpkyRGo5FY4JDRGQmNBpg4UJDjaL33uOAY3Ny44aY6p9v0SKgalVp4Vg8JjhERGakbVtDnarbt4HXXuMKx+binXeAy5dF+9lnxeBiMh2TJjjXr19HaGgotFottFotQkNDcePGjVIfo9Foit0+LnTzuVu3bkV+PnDgQFO+FCIi1Xj/faBePdHevh1Ys0ZuPHRvR44An30m2k5OwPz5UsOxCiZNcF588UUkJCRg69at2Lp1KxISEhAaGlrqY1JSUoy2FStWQKPR4Pnnnzc6LywszOi8L774wpQvhYhINZydDR+WgFgNN78oJ6lPTg7w6qtAXp7Yf/ddoH59uTFZgyqmunBiYiK2bt2KuLg4dOzYEQCwdOlSBAQE4NSpU/D29i72ce7u7kb7GzduxOOPP45GjRoZHXdycipyLhGRtejXD3j+eSA6GrhyBXjzTWDZMtlRUXHmzQMOHRLtFi2MyzOQ6ZisB2ffvn3QarUFyQ0AdOrUCVqtFnv37i3TNS5fvoyff/4Zw4cPL/Kz1atXw9XVFS1btsTEiRORnp5e4nUyMzOh1+uNNiIic/fpp4CLi2gvXw7ExsqNh4o6fVqMvQHEIPHly8XaN2R6JktwUlNTUadOnSLH69Spg9TU1DJdY9WqVXB2dsZzzz1ndHzQoEFYs2YNdu3ahWnTpiE6OrrIOYVFRkYWjAPSarXw9PQs34shIlKhunWByEjD/quvAnfuyIuHjOXlAa+8Yvg7iYgAOnWSGpJVKXeCM3369BIHAudvh/7ri9NoNEUeryhKsceLs2LFCgwaNAiOjo5Gx8PCwtCjRw/4+vpi4MCB+P7777Fjxw4cOXKk2OtMmTIFOp2uYEtOTi7nqyYiUqfwcMOH5qlTht4Cki8qCtizR7QbNRKDw6nylHsMzqhRo+45Y6lhw4Y4duwYLufPhyvkypUrcHNzu+fz7NmzB6dOncK6devuea6fnx/s7Oxw5swZ+Pn5Ffm5g4MDHBwc7nkdIiJzY2Mjxt74+YmVjT/5BAgOBgIDZUdm3S5cACZPNuwvXQpUqyYvHmtU7gTH1dUVrq6u9zwvICAAOp0OBw4cwCOPPAIA2L9/P3Q6HQLL8C9v+fLl8Pf3R5s2be557okTJ5CdnQ2P/EItRERWpGVLsejf5MliTZyhQ4GEBH6gyqIowIgRQEaG2A8LA554Qm5M1shkY3CaN2+OXr16ISwsDHFxcYiLi0NYWBj69OljNIPKx8cHGzZsMHqsXq/H+vXr8corrxS57t9//4333nsPhw4dwvnz57F582b0798f7dq1Q+fOnU31coiIVG3iRMOtqr/+YgkAmZYtE+sTAcDDDxvXEKPKY9J1cFavXo1WrVohKCgIQUFBaN26Nb7++mujc06dOgWdTmd0bO3atVAUBS+88EKRa9rb2+OXX35Bz5494e3tjTFjxiAoKAg7duyAra2tKV8OEZFq2doCq1YZlv5fuBDYuVNuTNbo9GnjaeCffw5otdLCsWoaRbG+Rb71ej20Wi10Oh1c8udYEhFZgAULDB+wDRoAx44ZppKTaWVnA507AwcPiv2wMGDJErkxWZryfH6zFhURkQUZPRro2lW0L1wAxo2TG481ee89Q3LTtKlY4I/kYYJDRGRBbGyAL78EqlcX+ytWsFZVZfj9d2DmTNG2tQVWr+Ygb9mY4BARWRgvL2DRIsP+q6+KgcdkGno9MHiwodbU9OlAhw5SQyIwwSEiskhDhwL5tY3T04GBA8U6OVSxFAUYNQo4f17sd+7MGWxqwQSHiMhCLV4sxoIAwOHDxgvPUcVYtgzInxzs7CzanNCrDkxwiIgsVPXqwHffGYo7zpsH/N//yY3Jkhw+LHpv8i1ZIm4PkjowwSEismBt2wJz5hj2hw0DkpJkRWM5/v0X+N//DLf9Ro0StwFJPZjgEBFZuJEjRX0qALh2DXj2WeDWLakhmbW8PDG+KX/cTceOxkkkqQMTHCIiC6fRiOnijRuL/SNHgFdeEQNkqfwiI4HNm0Xb1RVYv95wG5DUgwkOEZEVqFkT2LjRsD7OmjWi8jiVz9atwDvviLZGA3z7LeDpKTcmKh4THCIiK9GypWHGDwBMmiQ+sKlsjh8HBgwwrHczYwbw5JNyY6KSMcEhIrIiwcFiITpA3KIaOFAUiKTSpaYCffqINYUAMY5p6lS5MVHpmOAQEVmZadPEBzQA6HTig/vKFbkxqdmtW0C/fobZZ+3bA998I8pikHrxr4eIyMrY2ACrVgG+vmL/zBng6aeBjAy5calRXh4wZIihiKanJ7BpE+DkJDcuujcmOEREVsjZGfj5Z+Dhh8X+wYPA88+znMPdJk8GoqNF29lZLJTo4SE3JiobJjhERFaqfn0xyLhGDbG/fTvw8suGQbTW7sMPgY8/Fm0bG2DdOqB1a7kxUdkxwSEismK+vsBPPwGOjmJ/9WrgzTflxqQG8+YBb79t2P/sM6B3b3nxUPkxwSEisnKPPgqsXWsYNDtnjljrxVoXAoyKAsaPN+x//DEQHi4vHro/THCIiAjPPAN88YVh//33xfgTa0tyVq4EXn/dsD9jBjBxorRw6AEwwSEiIgCifMOnnxr2P/oIGDfOepKclSuB4cMN+5Mniyn1ZJ6Y4BARUYHRo417chYsEMU6LXngsaIAs2cDL71keJ1jxgAzZ4pyDGSemOAQEZGRESNEcc78D/eoKPHhb4lTyPPyRC/V5MmGY2PGAPPnM7kxd0xwiIioiJdeEnWr8gcef/WVqLt09arcuCpSVhYweLDopco3cyaTG0vBBIeIiIo1aBDw3XeGKeS7dwMdOwJ//ik3ropw5YqY9r1mjdi3tQWWLwemTGFyYymY4BARUYmefx6IjQXc3cX+2bNAQACwZYvcuB7E3r1Au3bAr7+KfUdHYMMGscghWQ4mOEREVKpHHhGlHNq1E/t6vSjQ+c47QHa23NjKQ1HE7aeuXYF//hHH3NyAX34B+vaVGhqZABMcIiK6p3r1gD17gOeeE/t5eWKtnMBA4NQpubGVxY0bQP/+YkBxTo449thjQHy8eA1keZjgEBFRmVSrBqxfLxIbW1tx7NAh0bPz2WfqXC9HUUQNKR8fQ9FMAJg0SfTcsHCm5WKCQ0REZWZjI2o0xcUB3t7i2O3bwKhRQPfuQEKC1PCMnD0rBhIPHAhcviyO1agBbNwIzJoFVKkiNTwyMSY4RERUbu3bA0eOiIUB8+3cCfj5AUOHAsnJ8mLT60UvU8uWwLZthuP9+gFHj4o/yfIxwSEiovvi5CRKO2zbBnh5iWOKItbMadZMTLnO7zmpDFevioHPDRqIP+/cEccffljMktq4Eahfv/LiIblMmuB8+OGHCAwMhJOTE2rUqFGmxyiKgunTp6Nu3bqoWrUqunXrhhMnThidk5mZidGjR8PV1RXVqlVDv379cPHiRRO8AiIiupegICAxEZg7F6hZUxy7c0fcBvL0BEJCgF27TDdG5+RJYMIEoGFD0XNz44Y4bmMDRESI2IKDTfPcpF4mTXCysrLQv39/vPbaa2V+zEcffYS5c+di0aJFOHjwINzd3fHkk08iPT294JyIiAhs2LABa9euxW+//YaMjAz06dMHubm5pngZRER0Dw4OYobS33+L6tv29uJ4drZYLPDxx4HmzYEPPwT27zfMZLpfJ0+KZKZ1a3HduXOBmzfFz6pUESsxJyYC8+YBzs4P9lxknjSKYvpx7ytXrkRERARu5KfVJVAUBXXr1kVERAQmTZoEQPTWuLm5Yfbs2Xj11Veh0+nw0EMP4euvv0ZISAgA4NKlS/D09MTmzZvRs2fPe8aj1+uh1Wqh0+ng4uLywK+PiIiMXbgAfP65WB34ypWiP3dxEevRdOsGNGkipqF7egKuroaVhHNzxQDmf/8Fjh8X42cSEsTU7r/+KnpNR0dREf2NN3grylKV5/NbVWPIz507h9TUVAQFBRUcc3BwQNeuXbF37168+uqrOHz4MLKzs43OqVu3Lnx9fbF3795iE5zMzExkZmYW7Ov1etO+ECIiK9egARAZCcyYIca/fP65uE2VT68HfvpJbIU5OIhE5fbtshf37NRJrHEzaJBYuI8IUFmCk5qaCgBwu+s31M3NDRcuXCg4x97eHjXzb/QWOif/8XeLjIzEjBkzTBAxERGVxt5ejMEJCQHOnQNiYkSJhF9/Lb5nJzNTbKVxdAT8/UUZieefZ28NFa/cCc706dPvmSwcPHgQ7du3v++gNHdVOlMUpcixu5V2zpQpUzB+/PiCfb1eD09Pz/uOj4iIys/LCxgxQmx5ecCJE6IExMWLYlp5/p/Z2WKGlpMTULUqUL26WHOnbVuxNW3KNWzo3sr9KzJq1CgMHDiw1HMaNmx4X8G4/1fNLTU1FR6FlpdMS0sr6NVxd3dHVlYWrl+/btSLk5aWhsAS1tt2cHCAg4PDfcVEREQVz8YGaNVKbESmUO4Ex9XVFa6urqaIBV5eXnB3d0dMTAza/VfVLSsrC7GxsZg9ezYAwN/fH3Z2doiJicGAAQMAACkpKfjjjz/w0UcfmSQuIiIiMi8m7eRLSkrCv//+i6SkJOTm5iLhvzW8mzRpgurVqwMAfHx8EBkZiWeffRYajQYRERGYOXMmmjZtiqZNm2LmzJlwcnLCiy++CADQarUYPnw4JkyYgNq1a6NWrVqYOHEiWrVqhR49epjy5RAREZGZMGmC884772DVqlUF+/m9Mjt37kS3bt0AAKdOnYJOpys4580338Tt27fx+uuv4/r16+jYsSO2b98O50ILGcybNw9VqlTBgAEDcPv2bXTv3h0rV66EbX71NyIiIrJqlbIOjtpwHRwiIiLzU57Pb9aiIiIiIovDBIeIiIgsDhMcIiIisjhMcIiIiMjiMMEhIiIii8MEh4iIiCwOExwiIiKyOExwiIiIyOIwwSEiIiKLY5UF5/MXb9br9ZIjISIiorLK/9wuSxEGq0xw0tPTAQCenp6SIyEiIqLySk9Ph1arLfUcq6xFlZeXh0uXLsHZ2RkajaZCr63X6+Hp6Ynk5GTWuSoG35+S8b0pHd+f0vH9KR3fn5KZ03ujKArS09NRt25d2NiUPsrGKntwbGxsUK9ePZM+h4uLi+p/UWTi+1Myvjel4/tTOr4/peP7UzJzeW/u1XOTj4OMiYiIyOIwwSEiIiKLwwSngjk4OODdd9+Fg4OD7FBUie9PyfjelI7vT+n4/pSO70/JLPW9scpBxkRERGTZ2INDREREFocJDhEREVkcJjhERERkcZjgEBERkcVhglOBFi9eDC8vLzg6OsLf3x979uyRHZJq7N69G3379kXdunWh0Wjw448/yg5JNSIjI9GhQwc4OzujTp06CA4OxqlTp2SHpRpRUVFo3bp1wSJkAQEB2LJli+ywVCkyMhIajQYRERGyQ1GF6dOnQ6PRGG3u7u6yw1KVf/75B4MHD0bt2rXh5OSEtm3b4vDhw7LDqhBMcCrIunXrEBERgalTpyI+Ph5dunRB7969kZSUJDs0Vbh58ybatGmDRYsWyQ5FdWJjYzFy5EjExcUhJiYGOTk5CAoKws2bN2WHpgr16tXDrFmzcOjQIRw6dAhPPPEEnnnmGZw4cUJ2aKpy8OBBLFmyBK1bt5Ydiqq0bNkSKSkpBdvx48dlh6Qa169fR+fOnWFnZ4ctW7bgzz//xJw5c1CjRg3ZoVUIThOvIB07doSfnx+ioqIKjjVv3hzBwcGIjIyUGJn6aDQabNiwAcHBwbJDUaUrV66gTp06iI2NxWOPPSY7HFWqVasWPv74YwwfPlx2KKqQkZEBPz8/LF68GB988AHatm2L+fPnyw5LuunTp+PHH39EQkKC7FBUafLkyfj9998t9m4De3AqQFZWFg4fPoygoCCj40FBQdi7d6+kqMhc6XQ6AOJDnIzl5uZi7dq1uHnzJgICAmSHoxojR47E008/jR49esgORXXOnDmDunXrwsvLCwMHDsTZs2dlh6QamzZtQvv27dG/f3/UqVMH7dq1w9KlS2WHVWGY4FSAq1evIjc3F25ubkbH3dzckJqaKikqMkeKomD8+PF49NFH4evrKzsc1Th+/DiqV68OBwcHhIeHY8OGDWjRooXssFRh7dq1OHLkCHuKi9GxY0d89dVX2LZtG5YuXYrU1FQEBgbi2rVrskNThbNnzyIqKgpNmzbFtm3bEB4ejjFjxuCrr76SHVqFsMpq4qai0WiM9hVFKXKMqDSjRo3CsWPH8Ntvv8kORVW8vb2RkJCAGzduIDo6GkOHDkVsbKzVJznJyckYO3Ystm/fDkdHR9nhqE7v3r0L2q1atUJAQAAaN26MVatWYfz48RIjU4e8vDy0b98eM2fOBAC0a9cOJ06cQFRUFIYMGSI5ugfHHpwK4OrqCltb2yK9NWlpaUV6dYhKMnr0aGzatAk7d+5EvXr1ZIejKvb29mjSpAnat2+PyMhItGnTBgsWLJAdlnSHDx9GWloa/P39UaVKFVSpUgWxsbH49NNPUaVKFeTm5soOUVWqVauGVq1a4cyZM7JDUQUPD48iXxKaN29uMZNjmOBUAHt7e/j7+yMmJsboeExMDAIDAyVFReZCURSMGjUKP/zwA3799Vd4eXnJDkn1FEVBZmam7DCk6969O44fP46EhISCrX379hg0aBASEhJga2srO0RVyczMRGJiIjw8PGSHogqdO3cusiTF6dOn0aBBA0kRVSzeoqog48ePR2hoKNq3b4+AgAAsWbIESUlJCA8Plx2aKmRkZOCvv/4q2D937hwSEhJQq1Yt1K9fX2Jk8o0cORLffvstNm7cCGdn54KeQK1Wi6pVq0qOTr633noLvXv3hqenJ9LT07F27Vrs2rULW7dulR2adM7OzkXGalWrVg21a9fmGC4AEydORN++fVG/fn2kpaXhgw8+gF6vx9ChQ2WHpgrjxo1DYGAgZs6ciQEDBuDAgQNYsmQJlixZIju0iqFQhfnss8+UBg0aKPb29oqfn58SGxsrOyTV2LlzpwKgyDZ06FDZoUlX3PsCQPnyyy9lh6YKL7/8csG/q4ceekjp3r27sn37dtlhqVbXrl2VsWPHyg5DFUJCQhQPDw/Fzs5OqVu3rvLcc88pJ06ckB2Wqvz000+Kr6+v4uDgoPj4+ChLliyRHVKF4To4REREZHE4BoeIiIgsDhMcIiIisjhMcIiIiMjiMMEhIiIii8MEh4iIiCwOExwiIiKyOExwiIiIyOIwwSEiIiKLwwSHiIiILA4THCIiIrI4THCIiIjI4jDBISIiIovz/wjeRH9TLPbFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# 创建画布和坐标轴对象\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "# 绘制曲线\n",
    "ax.plot(x, y, color='blue', linewidth=2)\n",
    "\n",
    "# 显示图像\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5cfe489e-907d-42c7-87c1-d68ee3402392",
   "metadata": {},
   "source": [
    "## 增加marker"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a99c6158-6734-4fe3-99de-1fb1e7582ff7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 生成数据\n",
    "x = np.arange(0, 10, 0.1)\n",
    "y = np.sin(x)\n",
    "\n",
    "# 创建画布和坐标轴对象\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "# 绘制曲线\n",
    "ax.plot(x, y, linestyle='--', marker='o')\n",
    "\n",
    "# 显示图像\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d467a732-1c65-4c03-8f37-313e035e0458",
   "metadata": {},
   "source": [
    "## 两条曲线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "664acacf-18e2-45eb-844d-2049b57d09cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "y1 = np.sin(x)\n",
    "y2 = np.cos(x)\n",
    "\n",
    "# 创建画布和坐标轴对象\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "# 绘制曲线\n",
    "ax.plot(x, y1, color='blue', linewidth=2, linestyle='-', marker='o', markersize=6, label='sin')\n",
    "ax.plot(x, y2, color='red', linewidth=1, linestyle='--', marker='s', markersize=4, label='cos')\n",
    "\n",
    "# 设置图例\n",
    "ax.legend()\n",
    "\n",
    "# 显示图像\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c07bbcc-4b8c-4a18-8de6-018dabfd063e",
   "metadata": {},
   "source": [
    "## 美化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a4f1cc8a-2972-4858-8df5-142ebb8a6028",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建画布和坐标轴对象\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "# 绘制曲线\n",
    "ax.plot(x, y)\n",
    "\n",
    "# 设置坐标轴范围\n",
    "ax.set_xlim(0, 10)\n",
    "ax.set_ylim(-1, 1)\n",
    "\n",
    "# 设置坐标轴标签\n",
    "ax.set_xlabel('X Label')\n",
    "ax.set_ylabel('Y Label')\n",
    "\n",
    "# 设置坐标轴刻度\n",
    "ax.set_xticks([0, 5, 10])\n",
    "ax.set_yticks([-1, 0, 1])\n",
    "\n",
    "# 设置坐标轴刻度标签\n",
    "ax.set_xticklabels(['Start', 'Middle', 'End'])\n",
    "ax.set_yticklabels(['Min', 'Mid', 'Max'])\n",
    "\n",
    "# 显示图像\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e48ac2a-1bcd-4f7e-849e-a5d35c58d82b",
   "metadata": {},
   "source": [
    "## 增加网格"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "86b2bd20-841e-4edf-b5f1-46fc0c17f27d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# 创建画布和坐标轴对象\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "# 绘制曲线\n",
    "ax.plot(x, y)\n",
    "\n",
    "# 设置网格线的颜色和线宽\n",
    "ax.grid(True, color='gray', linewidth=0.5)\n",
    "\n",
    "# 显示图像\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "723a278e-74dd-4677-a9ed-40dec0022940",
   "metadata": {
    "jupyter": {
     "outputs_hidden": true
    },
    "tags": []
   },
   "source": [
    "## 子图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1cf05e30-5ace-41fa-a2f5-4de5160952e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 生成数据\n",
    "y1 = np.sin(x)\n",
    "y2 = np.cos(x)\n",
    "y3 = np.tan(x)\n",
    "y4 = np.exp(x)\n",
    "\n",
    "# 创建画布和子图对象\n",
    "fig, axs = plt.subplots(2, 2)\n",
    "\n",
    "# 绘制第一个子图\n",
    "axs[0, 0].plot(x, y1)\n",
    "axs[0, 0].set_title('sin')\n",
    "\n",
    "# 绘制第二个子图\n",
    "axs[0, 1].plot(x, y2)\n",
    "axs[0, 1].set_title('cos')\n",
    "\n",
    "# 绘制第三个子图\n",
    "axs[1, 0].plot(x, y3)\n",
    "axs[1, 0].set_title('tan')\n",
    "\n",
    "# 绘制第四个子图\n",
    "axs[1, 1].plot(x, y4)\n",
    "axs[1, 1].set_title('exp')\n",
    "\n",
    "# 调整子图间距\n",
    "plt.subplots_adjust(wspace=0.3, hspace=0.5)\n",
    "\n",
    "# 显示图像\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f14d0278-54ee-4e6c-95e8-a540e994579c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'tan')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import matplotlib.gridspec as gridspec\n",
    "\n",
    "# 生成数据\n",
    "x = np.arange(0, 10, 0.1)\n",
    "y1 = np.sin(x)\n",
    "y2 = np.cos(x)\n",
    "y3 = np.tan(x)\n",
    "\n",
    "# 创建画布和gridspec对象\n",
    "fig = plt.figure()\n",
    "gs = gridspec.GridSpec(2, 2)\n",
    "\n",
    "# 绘制第一个子图\n",
    "ax1 = fig.add_subplot(gs[0, :])\n",
    "ax1.plot(x, y1)\n",
    "ax1.set_title('sin')\n",
    "\n",
    "# 绘制第二个子图\n",
    "ax2 = fig.add_subplot(gs[1, 0])\n",
    "ax2.plot(x, y2)\n",
    "ax2.set_title('cos')\n",
    "\n",
    "# 绘制第三个子图\n",
    "ax3 = fig.add_subplot(gs[1, 1])\n",
    "ax3.plot(x, y3)\n",
    "ax3.set_title('tan')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "81e37b6c-b8ad-41de-990d-0489e60fb091",
   "metadata": {},
   "source": [
    "## 用色谱渲染"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "7fe65b6d-083a-4a3a-ab1b-f46ba193a79c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import norm\n",
    "import os\n",
    "\n",
    "# 如果文件夹不存在，创建文件夹\n",
    "if not os.path.isdir(\"Figures\"):\n",
    "    os.makedirs(\"Figures\")\n",
    "\n",
    "# 导入SciPy库中的norm模块。\n",
    "# norm模块提供了正态分布（也称为高斯分布）相关的功能。\n",
    "# norm.pdf(x, loc, scale): 计算给定正态分布的概率密度函数（Probability Density Function，PDF）在指定x值处的取值。\n",
    "# loc参数表示分布的均值（平均值），scale参数表示分布的标准差。\n",
    "\n",
    "# 生成自变量 x 的取值范围\n",
    "x = np.linspace(-5, 5, 100)\n",
    "\n",
    "# mu 的取值范围和渐变色彩映射\n",
    "mu_range = np.linspace(-3, 3, 7)\n",
    "colors = plt.cm.rainbow(np.linspace(0, 1, len(mu_range)))\n",
    "# plt.cm.rainbow函数来生成一个彩虹色调的颜色映射。\n",
    "# 它的作用是为一个由mu_range数组中的值组成的序列创建一组颜色值。\n",
    "# 具体地说，np.linspace(0, 1, len(mu_range))创建了一个从0到1的等间隔的数组，\n",
    "# 其长度与mu_range相同。这个数组表示了一系列归一化的数值，可以用来在颜色映射中对应不同的颜色。\n",
    "# 然后，plt.cm.rainbow函数将这个归一化的数组作为输入，\n",
    "# 并返回对应的彩虹色调的颜色值。\n",
    "# 这些颜色值可以用于绘制图形或者为数据集中的不同元素进行着色，以表示它们在某种程度上的差异。\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (6,4))\n",
    "\n",
    "# 绘制高斯分布曲线\n",
    "for mu, color in zip(mu_range, colors):\n",
    "    y = norm.pdf(x, mu, 1)\n",
    "    plt.plot(x, y, color=color, label=r'$\\mu$ = {}'.format(mu))\n",
    "\n",
    "# 设置图例、标题和坐标轴标签\n",
    "plt.legend()\n",
    "plt.title('Gaussian distribution with varying $\\mu$')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel(r'$f_X(x)$')\n",
    "plt.xlim(-5,5)\n",
    "plt.ylim(0,0.5)\n",
    "\n",
    "# 显示图像\n",
    "plt.show()\n",
    "\n",
    "fig.savefig('Figures\\Matplotlib绘制高斯PDF，mu变化.svg', format='svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "bf6db6bf-d831-4995-a200-9d4271067ef1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 生成自变量 x 的取值范围\n",
    "x = np.linspace(-5, 5, 100)\n",
    "\n",
    "# sigma 的取值范围和渐变色彩映射\n",
    "sigma_range = np.linspace(1, 4, 7)\n",
    "colors = plt.cm.rainbow(np.linspace(0, 1, len(sigma_range)))\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (6,4))\n",
    "\n",
    "# 绘制高斯分布曲线\n",
    "for sigma, color in zip(sigma_range, colors):\n",
    "    y = norm.pdf(x, 0, sigma)\n",
    "    plt.plot(x, y, color=color, label=r'$\\sigma$ = {}'.format(sigma))\n",
    "\n",
    "# 设置图例、标题和坐标轴标签\n",
    "plt.legend()\n",
    "plt.title('Gaussian Distribution with varying $\\sigma$')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel(r'$f_X(x)$')\n",
    "plt.xlim(-5,5)\n",
    "plt.ylim(0,0.5)\n",
    "\n",
    "# 显示图像\n",
    "plt.show()\n",
    "fig.savefig('Figures\\Matplotlib绘制高斯PDF，sigma变化.svg', format='svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "ca9a16de-fa94-4bd2-aa83-8c4c2be353c6",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Repo: https://github.com/Visualize-ML\n",
    "# Book 1 Python for Beginners  |  From Basic Arithmetic to Machine Learning\n",
    "# Published and copyrighted by Tsinghua University Press\n",
    "# Beijing, China, 2023"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
